Salam..its nice to see you considering an upgrade for the headlights.
Corolla stock bulbs are H11 for Low beam, 9005 for High and H11 for Fogs.
Now as per your query looks like you only need HIDs and not projectors. But i will advise you that if you have planned to upgrade then do it in a proper way i.e to get Projectors in first. Simply getting HIDs will glare oncoming traffic and is dangerous for you and others.
Using 75w ballasts isnt advisable. It may work for sometime but in the long run it will effect the projectors or the headlights causing them to burn plus it wears out the HID bulb very soon.
If you go for projectors then 35w(OEM Denso) is more than enough.
I have 2 Brand new Stage 3 kits of Mini H1 and Mini D2S with OEM Denso ballasts. Let me know if you need them.
Plus if you have anu further queries let me know i am available to sort out your lighting needs 
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